Comparison of implicit-gradient damage-plastic models

Abstract eng:
Damage mechanics coupled with the theory of plasticity is a suitable framework for description of the complex behavior of materials such as concrete, steel, or bone. However, the classical theory fails after the loss of ellipticity of the governing differential equation. From the numerical point of view, loss of ellipticity is manifested by the pathological dependence of the results on the size and orientation of the finite elements. This paper describes two different formulations of coupled damage-plastic models, and their nonlocal enhancements based on the implicit gradient approach. The difference between the formulations is discussed and illustrated by a numerical example.

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